Computation of the eigenvalues of a second-order boundary value problem with parameter dependent boundary conditions

KABATAŞ A., ŞENGÜL S.

AIMS Mathematics, cilt.11, sa.3, ss.6030-6049, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 3
  • Basım Tarihi: 2026
  • Doi Numarası: 10.3934/math.2026250
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.6030-6049
  • Anahtar Kelimeler: asymptotic approximation, boundary value problems, eigenvalues, interpolating element free Galerkin method
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Our purpose in this paper was to determine the eigenvalues of the boundary value problem with separated and parameter dependent boundary conditions when the potential function is integrable and symmetric. We first provided the asymptotic estimates of the eigenvalues of the related problem. Second, we computed numerical results for the eigenvalues using the interpolating element free Galerkin method. Then, a few examples are presented to illustrate the power of the method and compare the asymptotical and numerical results for consistency and validity.